InstructionsThese assignments take more time because they are more complicated and they require you to do more in-depth thinking. For example, in this discussion you are solving in-depth problems, and you may want to consult with your group to answer these problems. Each person in the group should post their own solution, and each member is responsible to identify any errors in the solution. Once everyone’s solution has been posted make any corrections to your post that are needed based on feedback.

#### Height (Stature) and Weight Distribution

The chart shown above represents the height (stature) on the top of the chart and weight on the bottom of the chart of boys ages 2-20 years old in the U.S. The mean of each chart is represented by the 50th percentile. The 95th percentile represents 2 or 2 standard deviations above the mean and the 5th percentile represents -2or 2 standard deviations below the mean. The measurements from 2 standard deviations below the mean to 2 standard deviations above are considered normal. For example, the average 8 -year-old boy has a height of about 50 inches but any height between 47 inches and 53 inches is considered normal.

1. What happens to the standard deviation for weights of boys as the age of boys increases? What is the significance of this fact?

2. Determine the mean weight and normal range for boys at age 13. What is the approximate standard deviation?

3. Determine the mean height and normal range for boys at age 13. What is the approximate standard deviation?

4. At age 19, what is the mean weight and normal for boys? What is the approximate standard deviation? How does this compare to boys at age 13?

5. What percentage of boys are outside of the normal range?I attached below the prompt for the questions 2 to 20 years: BoysStatute for age and weight for age percentages

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